Online GCD Calculator is useful to find the GCD of 708, 408, 920, 812 quickly. Get the easiest ways to solve the greatest common divisor of 708, 408, 920, 812 i.e 4 in different methods as follows.
Given Input numbers are 708, 408, 920, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (708, 408, 920, 812) = 4.
Given numbers are 708, 408, 920, 812
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 22
Therefore, GCD of 708, 408, 920, 812 is 4.
Given numbers are 708, 408, 920, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 408) = 24072
GCD(708, 408) = ( 708 x 408 ) / 24072
= 708 / 408
= 708
Step2:
LCM(12, 920) = 2760
GCD(12, 920) = ( 12 x 920 ) / 2760
= 12 / 920
= 12
Step3:
LCM(4, 812) = 812
GCD(4, 812) = ( 4 x 812 ) / 812
= 4 / 812
= 4
So, Greatest Common Divisor of 708, 408, 920, 812 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 408, 920, 812
The greatest common divisor of numbers 708, 408, 920, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 408, 920, 812 is 4.
1. What is the GCD of 708, 408, 920, 812?
GCD of given numbers 708, 408, 920, 812 is 4
2. How to calculate the greatest common divisor of 708, 408, 920, 812?
We can find the highest common divisor of 708, 408, 920, 812 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 708, 408, 920, 812 i.e 4.
3. How can I use the GCD of 708, 408, 920, 812Calculator?
Out the numbers 708, 408, 920, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.